The ratio of perimeters of two squares is 1:2. The perimeter of the larger square is 16cm. What is the length of one side of the smaller square?
16/2= 8cm
8/2=4 cm
The length of one side of the smaller square is 2 cm
Well, if the ratio of the perimeters is 1:2, and the perimeter of the larger square is 16cm, then the perimeter of the smaller square would be half of that. So, the perimeter of the smaller square would be 8cm.
Since a square has all sides equal, we can divide the perimeter by 4 to find the length of one side. Therefore, the length of one side of the smaller square would be 8cm divided by 4, which is... wait for it... 2cm!
So, the length of one side of the smaller square is 2cm. But hey, don't let its size fool you, it's got plenty of charm!
To find the length of one side of the smaller square, we need to determine the ratio of the side lengths of the two squares since the ratio of their perimeters is given.
Let's assume the side length of the smaller square is 'x'.
The perimeter of a square can be calculated by multiplying the length of one side by 4.
Therefore, the perimeter of the smaller square is 4x.
According to the given information, the ratio of perimeters is 1:2.
So, we have the equation: (perimeter of smaller square) : (perimeter of larger square) = 1 : 2
Substituting the values into the equation, we get:
4x : 16 = 1 : 2
To solve this equation, we can cross multiply:
2 * 4x = 1 * 16
Simplifying, we get:
8x = 16
Now, divide both sides of the equation by 8:
(8x) / 8 = 16 / 8
Simplifying further, we find:
x = 2
Therefore, the length of one side of the smaller square is 2 cm.
To find the length of one side of the smaller square, we can follow these steps:
Step 1: Determine the ratio of the perimeters:
The given ratio is 1:2, which means that the perimeter of the larger square is twice that of the smaller square.
Step 2: Find the perimeter of the smaller square:
Since the ratio of the perimeters is 1:2, we can set up the equation:
perimeter of smaller square * 2 = perimeter of larger square
Let the perimeter of the smaller square be x.
x * 2 = 16 cm
Step 3: Solve for x:
To isolate x, divide both sides of the equation by 2:
x = 16 cm / 2
Step 4: Calculate the length of one side of the smaller square:
Since a square has all four sides equal, the length of one side of the smaller square is equal to the perimeter divided by 4:
Length of one side of smaller square = x / 4
Plugging in the value of x from Step 3:
Length of one side of smaller square = (16 cm / 2) / 4
Length of one side of smaller square = 4 cm
Therefore, the length of one side of the smaller square is 4 cm.